A Note on the Stanley Distribution

Details A Note on the Stanley Distribution A Note on the Stanley Distribution

2010-01-21

arxiv.org/abs/1001.3899v1

Mathematics

Combinatorics

2 pages

Scientific paper

Richard Stanley proved that the centralized/normalized version of the random
variable "length of largest up-down subsequence" in a random permutation of
length n is asymptotically normal. We go beyond and present a more refined
asymptotic formula for the moments.

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